Local well-posedness to the vacuum free boundary problem of full compressible Navier-Stokes equations in \(\mathbb{R}^3\)
type: Item
instance of: scholarly article
title: Local well-posedness to the vacuum free boundary problem of full compressible Navier-Stokes equations in \(\mathbb{R}^3\)
zbMATH Open document ID: 1486.35325
author: Yuhui Chen
author: Jingchi Huang
author: Chao Wang
author: Zhengzhen Wei
published in: Journal of Differential Equations
publication date: 2021-09-06T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 7391536
zbMATH Keywords: full compressible Navier-Stokes equations
zbMATH Keywords: free boundary problem
zbMATH Keywords: physical vacuum
zbMATH Keywords: local well-posedness
MaRDI profile type: Publication
full work available at URL: j.jde.2021.08.016
OpenAlex ID: W3193423189
cites work: Q3903524
cites work: Large-time regularity of viscous surface waves
cites work: Existence results for viscous polytropic fluids with vacuum
cites work: On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
cites work: Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum
cites work: Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
cites work: Global behavior of compressible Navier-Stokes equations with a degenerate viscosity coefficient
cites work: Global behavior of spherically symmetric Navier-Stokes-Poisson system with degenerate viscosity coefficients
cites work: Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum
cites work: Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum
cites work: Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations
cites work: Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations
cites work: Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries
cites work: Compressible flow in a half-space with Navier boundary conditions
cites work: Global classical and weak solutions to the three-dimensional full compressible Navier-Stokes system with vacuum and large oscillations
cites work: On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid
cites work: Well-posedness for compressible Euler equations with physical vacuum singularity
cites work: Well-posedness of Compressible Euler Equations in a Physical Vacuum
cites work: On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
cites work: Global strong solutions to radial symmetric compressible Navier-Stokes equations with free boundary
cites work: Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations
cites work: Global Well-Posedness of the One-Dimensional Compressible Navier--Stokes Equations with Constant Heat Conductivity and Nonnegative Density
cites work: Q4389323
cites work: Compressible flow with damping and vacuum
cites work: Compressible flow with vacuum and physical singularity.
cites work: A Model of Radiational Gaseous Stars
cites work: Global solutions to compressible Navier-Stokes equations with spherical symmetry and free boundary
cites work: Local Existence and Uniqueness of Strong Solutions to the Free Boundary Problem of the Full Compressible Navier--Stokes Equations in three dimensions
cites work: Interface Behavior of Compressible Navier--Stokes Equations with Vacuum
cites work: Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation
cites work: On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem
cites work: Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities
cites work: Global existence of smooth solutions and convergence to Barenblatt solutions for the physical vacuum free boundary problem of compressible Euler equations with damping
cites work: Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
cites work: Uniform regularity for the Navier-Stokes equation with Navier boundary condition
cites work: On the uniqueness of compressible fluid motions
cites work: On the first initial-boundary value problem of compressible viscous fluid motion
cites work: On blowup of classical solutions to the compressible Navier-Stokes equations
cites work: Singular behavior of vacuum states for compressible fluids
cites work: Analytical solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure
cites work: On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary
cites work: Evolution free boundary problem for equations of viscous compressible heat-conducting capillary fluids
cites work: Global-in-time smoothness of solutions to the vacuum free boundary problem for compressible isentropic Navier–Stokes equations
cites work: Global resolution of the physical vacuum singularity for three-dimensional isentropic inviscid flows with damping in spherically symmetric motions
cites work: Almost global solutions to the three-dimensional isentropic inviscid flows with damping in a physical vacuum around Barenblatt solutions
DOI: 10.1016/J.JDE.2021.08.016
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